Search a number
-
+
1205240 = 235291039
BaseRepresentation
bin100100110001111111000
32021020021112
410212033320
5302031430
641455452
713146551
oct4461770
92236245
101205240
11753573
124a1588
1333277a
14235328
1518c195
hex1263f8

1205240 has 32 divisors (see below), whose sum is σ = 2808000. Its totient is φ = 465024.

The previous prime is 1205231. The next prime is 1205251. The reversal of 1205240 is 425021.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 641 + ... + 1679.

It is an arithmetic number, because the mean of its divisors is an integer number (87750).

21205240 is an apocalyptic number.

1205240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1205240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1404000).

1205240 is an abundant number, since it is smaller than the sum of its proper divisors (1602760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1205240 is a wasteful number, since it uses less digits than its factorization.

1205240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 1205240 is about 1097.8342315669. The cubic root of 1205240 is about 106.4203081819.

The spelling of 1205240 in words is "one million, two hundred five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1039 1160 2078 4156 5195 8312 10390 20780 30131 41560 60262 120524 150655 241048 301310 602620 1205240